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Finding the Fourth Proportional to 9,222.93, 13,809.74 and 4,831.16

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Solution

The fourth proportional to 9,222.93, 13,809.74 and 4,831.16 is: 7,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.93 : 13,809.74 = 4,831.16 : x
  2. Step 2: Convert to fraction form
    9,222.93/13,809.74 = 4,831.16/x
  3. Step 3: Cross multiply
    9,222.93x = 13,809.74 × 4,831.16
  4. Step 4: Simplify right side
    9,222.93x = 66,716,970.29
  5. Step 5: Solve for x
    x = 66,716,970.29/9,222.93
  6. Step 6: Final answer
    x = 7,233.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.